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31140371240400 = 24352159716249411
BaseRepresentation
bin1110001010010011011101…
…10001000001010111010000
311002020222202000101000210210
413011021232301001113100
513040200440014143100
6150121404500324120
76362550300115122
oct705115661012720
9132228660330723
1031140371240400
119a16614812534
1235ab2673a3640
13144b6a817bb46
147992b845b212
15390074b43c50
hex1c526ec415d0

31140371240400 has 120 divisors (see below), whose sum is σ = 99815458085344. Its totient is φ = 8298898675200.

The previous prime is 31140371240393. The next prime is 31140371240417. The reversal of 31140371240400 is 404217304113.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6208306 + ... + 10041105.

Almost surely, 231140371240400 is an apocalyptic number.

31140371240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31140371240400 is an abundant number, since it is smaller than the sum of its proper divisors (68675086844944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31140371240400 is a wasteful number, since it uses less digits than its factorization.

31140371240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16251029 (or 16251018 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 31140371240400 its reverse (404217304113), we get a palindrome (31544588544513).

The spelling of 31140371240400 in words is "thirty-one trillion, one hundred forty billion, three hundred seventy-one million, two hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1597 3194 4791 6388 7985 9582 12776 15970 19164 23955 25552 31940 38328 39925 47910 63880 76656 79850 95820 119775 127760 159700 191640 239550 319400 383280 479100 638800 958200 1916400 16249411 32498822 48748233 64997644 81247055 97496466 129995288 162494110 194992932 243741165 259990576 324988220 389985864 406235275 487482330 649976440 779971728 812470550 974964660 1218705825 1299952880 1624941100 1949929320 2437411650 3249882200 3899858640 4874823300 6499764400 9749646600 19499293200 25950309367 51900618734 77850928101 103801237468 129751546835 155701856202 207602474936 259503093670 311403712404 389254640505 415204949872 519006187340 622807424808 648757734175 778509281010 1038012374680 1245614849616 1297515468350 1557018562020 1946273202525 2076024749360 2595030936700 3114037124040 3892546405050 5190061873400 6228074248080 7785092810100 10380123746800 15570185620200 31140371240400